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Finding the Fourth Proportional to 65,952, 98,924.76 and 21,573.36

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Solution

The fourth proportional to 65,952, 98,924.76 and 21,573.36 is: 32,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 98,924.76 = 21,573.36 : x
  2. Step 2: Convert to fraction form
    65,952/98,924.76 = 21,573.36/x
  3. Step 3: Cross multiply
    65,952x = 98,924.76 × 21,573.36
  4. Step 4: Simplify right side
    65,952x = 2,134,139,460.39
  5. Step 5: Solve for x
    x = 2,134,139,460.39/65,952
  6. Step 6: Final answer
    x = 32,358.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.